Yes, of course. Only patience and training are required. After one or two menstrual cycles you will have mastered the handling of Me Luna®.
Yes, you can. Me Luna® is not made from latex.
In principle, yes. If the string has not been cut short, be careful whenever you use Me Luna® to prevent from removing the IUD from your uterus. The string must not be stuck between the Me Luna® and your vaginal wall. It should remain inside the Me Luna® cup. If you want to use Me Luna® and an IUD, shortening of the string is recommended.
Yes, you can. But please keep in mind that your hymen will probably tear.